Pfaffian control of some polynomials involving the $j$--function and Weierstrass elliptic functions
J. V. Armitage
Abstract
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J. V. Armitage
Abstract
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We give new bounds on the zeros of polynomials in $z$ and the $j$--function, and $z$ and Weierstrass elliptic functions with rectangular associated lattice, controlling the zeros of these functions by their tame behaviour on the boundaries of their respective fundamental domains.
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We give new bounds on the zeros of polynomials in $z$ and the $j$--function, and $z$ and Weierstrass elliptic functions with rectangular associated lattice, controlling the zeros of these functions by their tame behaviour on the boundaries of their respective fundamental domains.
Key concepts: Pfaffian, Weierstrass functions, Elliptic function, Mathematics, Pure mathematics, Algebra over a field, Function (biology), Mathematical analysis